Greatest Common Factor of 539/689, 7889/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/689, 7889/404

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 539/689,7889/404

Given fractions are 539/689,7889/404

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 539,7889

Greatest Common Factor of Numerators i.e. GCF of 539,7889 is 49 .

LCM of Denominators means LCM of 689,404 as per the given fractions.

LCM of 689,404 is 278356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,7889

GCF of Fractions 539/689,7889/404 is 49/278356

7 539, 7889
7 77, 1127
11, 161

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 539,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,7889 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 539,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 539,7889 is 49.

Lets's calculate LCM of 689,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 278356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/278356

Therefore, the GCF of Fractions 539/689,7889/404 is 49/278356

Least Common Multiple of 689,404 with GCF Formula

Least Common Multiple of 689,404 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 689,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,404) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(689,404) x common factors =1 x 1 = 1

LCM(689,404) = ( 689 × 404 ) / 1

LCM(689,404) = 278356 / 1

LCM(689,404) = 278356


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 539/689, 7889/404

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 539/689, 7889/404?

Answer: GCF of Numerators as per given numbers 539/689, 7889/404 is

GCF of Numerators i.e. for 539,7889 is 49

LCM of denominators i.e. for 689,404 is 278356.

Thus, GCF of Fractions is 49/278356.Finally, GCF of Fractions for 539/689, 7889/404 is 49/278356.